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Lady bird [3.3K]
3 years ago
7

Justin plays basketball and scored 1/8 of the 48 points. How many points did he score?

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
Just divide 48 by 8 to give 6.
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Ms. Ramo's thumb measures 4 cm. Express this length in meters
Natalija [7]

Answer: 0.04 meters

Step-by-step explanation:

Convert cm to meters by dividing the length by 100.

4/100= = 0.04

6 0
3 years ago
Read 2 more answers
Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).
Levart [38]

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

3 0
2 years ago
Which of the following graphs is described by the function given below?
dusya [7]

Step-by-step explanation:

D. Graph D the answer is D

6 0
3 years ago
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
Caroline has a movie card worth $75 that her grandfather gave to her for her birthday. After seeing her first movie, the card’s
faust18 [17]

Answer:

f(m) = 75-8m

Step-by-step explanation:

She began with $75.  After the first movie, she had $67 remaining; this means she spent

75-67 = $8

After the second movie, she had $59 remaining; she spent

67-59 = $8

After the third movie, she had $51 remaining; she spent

59-51 = $8

Each movie costs $8.  Letting m represent the number of movies, this gives us 8m.

Since she is spending money, we subtract this from the original amount, $75; this gives us

f(m) = 75-8m

3 0
3 years ago
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